NPP = GPP - R
The wheat crop growing in a farmer’s field has a gross primary production of 10,000 kJ m-2 yr-1. The wheat crop loses 5,500 kJ m-2 yr-1 as heat from respiration. Calculate the net primary productivity of the wheat crop.
Step 1: Write out the equation and substitute in the known values
NPP = GPP - R
NPP = 10,000 - 5,500
Step 2: Calculate the net primary productivity and give appropriate units
NPP = 4,500 kJ m-2 yr-1
N = I - (F + R)
In a grassland ecosystem, the net production of rabbits is 2,400 kJ m-2 yr-1. These rabbits ingest 18,900 kJ m-2 yr-1 of grass. Calculate the total energy loss of the rabbits.
Step 1: Rearrange the equation to find the total energy loss (F + R)
N = I - (F + R)
(F + R) = I - N
Step 2: Substitute in the known values
(F + R) = I - N
(F + R) = 18,900 - 2,400
Step 3: Calculate the total energy loss and give appropriate units
Total energy loss = 16,500 kJ m-2 yr-1
% Efficiency = (gross primary productivity ÷ light energy falling on the producer) × 100
% Efficiency = (chemical energy in consumer ÷ chemical energy in ingested food) × 100
% Efficiency = (net productivity of consumer ÷ net primary productivity ) × 100
% Efficiency = (net productivity of secondary consumer ÷ net productivity of primary consumer) × 100
The total solar energy received by an area of heather is 6 × 105 kJ m-2 yr-1. The gross primary productivity of the heather is 4.25 × 103 kJ m-2 yr-1. Calculate the percentage of solar energy converted into chemical energy by photosynthesis.
Step 1: Write out the equation and substitute in the known values
% Efficiency = (gross primary productivity ÷ light energy falling on the producer) × 100
% Efficiency = (4.25 × 103 ÷ 6 × 105) × 100
Step 2: Calculate the efficiency
% Efficiency = (0.0071) × 100
% Efficiency = 0.71 %
A wheat farmer’s crops are being damaged by insect pests. The net primary productivity of the wheat is 112,500 kJ m-2 yr-1. The net production of the insect pests is 10,000 kJ m-2 yr-1. Calculate the percentage efficiency of energy transfer from the wheat to the insects.
Step 1: Write out the equation for % efficiency and substitute in the known values
% Efficiency = (chemical energy in consumer ÷ chemical energy in ingested food) × 100
or
% Efficiency = (net productivity of consumer ÷ net primary productivity ) × 100
% Efficiency = (10,000 ÷ 112,500) × 100
Step 2: Calculate the efficiency
% Efficiency = (0.089) × 100
% Efficiency = 8.9%
The wheat farmer decides to use biological control against insect pests that are eating the wheat. The farmer introduces a species of toad. By eating the insect pests, the toads ingest 10,000 kJ m-2 yr-1 of energy but lose 2,000 kJ m-2 yr-1 of this energy in faeces and urine. They lose a further 7,000 kJ m-2 yr-1 using energy for respiration. Calculate the percentage efficiency of energy transfer from the insects to the toads.
Step 1: Calculate the net production of the toads
N = I - (F + R)
N = 10,000 - (2,000 + 7,000)
N = 10,000 - 9,000
N = 1,000 kJ m-2 yr-1
Step 2: Write out the equation for % efficiency and substitute in the known values
% Efficiency = (chemical energy in consumer ÷ chemical energy in ingested food) × 100
or
% Efficiency = (net productivity of secondary consumer ÷ net productivity of primary consumer) × 100
% Efficiency = (1,000 ÷ 10,000) × 100
Step 3: Calculate the efficiency
% Efficiency = (0.1) × 100
% Efficiency = 10%
Based on the data you are given in an exam question, you may occasionally need to rearrange the equations above to calculate the right answer, so make sure you practice rearranging these! As always, keep a careful eye on the units being used and don't forget the final step of multiplying by 100 if you are calculating % efficiency.
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